Salutem here means something more than health or well-being. Aeneas is at the bottom of his fortunes. He's just been driven off-course by a fierce storm; he has been wandering around the Mediterranean without a clear sense of where he's going, enduring various vicissitudes after living through the destruction of Troy and the loss of his homeland and his wife and many of those to whom he was closest. Now he sees some hope that his travails might come to an end. If the word can be divorced from theological connotations, "salvation" isn't too strong a translation for salutem.

If you want to preserve the plural, you could translate singula opera lustrat as "he looked at the works one by one."